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Finding the Fourth Proportional to 11,812.50, 17,718.69 and 3,047.40

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Solution

The fourth proportional to 11,812.50, 17,718.69 and 3,047.40 is: 4,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.50 : 17,718.69 = 3,047.40 : x
  2. Step 2: Convert to fraction form
    11,812.50/17,718.69 = 3,047.40/x
  3. Step 3: Cross multiply
    11,812.50x = 17,718.69 × 3,047.40
  4. Step 4: Simplify right side
    11,812.50x = 53,995,935.91
  5. Step 5: Solve for x
    x = 53,995,935.91/11,812.50
  6. Step 6: Final answer
    x = 4,571.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.